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Finding the Fourth Proportional to 678.15, 935.91 and 383.45

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Solution

The fourth proportional to 678.15, 935.91 and 383.45 is: 529.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.15 : 935.91 = 383.45 : x
  2. Step 2: Convert to fraction form
    678.15/935.91 = 383.45/x
  3. Step 3: Cross multiply
    678.15x = 935.91 × 383.45
  4. Step 4: Simplify right side
    678.15x = 358,870.01
  5. Step 5: Solve for x
    x = 358,870.01/678.15
  6. Step 6: Final answer
    x = 529.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.